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    Cube Root of 201

    Cube Root Calculator
    Cube root of

    What is the cube root of 201?

    Answer

    ∛201 ≈
    5.8578

    Real cube root: the only number whose cube is 201.

    ≈ — rounded to 4 decimal places. 201 is not the cube of a rational number, so ∛201 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    201 = 3 × 67
    Take out of the root
    No prime appears three times, so ∛201 is already in simplest form.
    Between cubes
    5³ = 125 < 201 < 216 = 6³, so 5 < ∛201 < 6 and ∛201 ≈ 5.8578

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    https://calculat.io/en/number/cube-root/201Copy
    <a href="https://calculat.io/en/number/cube-root/201">Cube Root of 201 (∛201): Exact Value and Decimal</a>Copy
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    Cube Root of 201 (∛201): Exact Value and Decimal. ∛201 ≈ 5.8578. 201 has no cube factor but 1, so ∛201 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/201/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    196≈ 5.8088
    197≈ 5.8186
    2002∛25 ≈ 5.848
    201≈ 5.8578
    207≈ 5.9155
    2082∛26 ≈ 5.925
    213≈ 5.9721
    Recalculate with different values ↑

    FAQ

    What is the cube root of 201?

    ∛201 ≈ 5.8578

    Can ∛201 be simplified?

    No: no prime appears three times in 201, so its only cube factor is 1 and ∛201 is already in simplest form. Since 5³ = 125 < 201 < 216 = 6³, ∛201 lies between 5 and 6: ∛201 ≈ 5.8578.

    Is ∛201 a rational number?

    No: 201 is not the cube of a rational number, and the cube root of a fraction p/q in lowest terms is rational only when p and q are both cubes. So ∛201 is irrational; its decimal never ends and never repeats: ∛201 ≈ 5.8578.

    See Also